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Consider the system given in Fig. 6.93. (a) Use MATLAB to obtain Bode plots for K...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
please use matlab etch the Nyquist plot based on the Bode plots for each of the following systems, and then compa...
please use matlab
etch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -1 encirclements, and goes off to infinity in the correct direction. 6.19 Sk K(0.5 (a) GH(s) K (4s+1)...
Use MATLAB to draw Bode Plots for a negative unity feedback system with each of the following for...
Use MATLAB to draw Bode Plots for a negative unity feedback system with each of the following forward-path transfer functions: 100(s +2) (b) G(s)50s +3 (s+5) Then, using the Bode Plots, s(s +2) (s+4) (s +6) · estimate the transient performance Ts and %OS (step response) . and compare the estimated values with actual values obtained from simulation.
Use MATLAB to draw Bode Plots for a negative unity feedback system with each of the following forward-path transfer functions: 100(s +2)...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) ...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) Use MATLAB to draw/plot the root locus (b) Obtain the limits for stable gain. (c) Get bode plot (d) Get gain margin and limits for stable K/gain. (It should be the same as the values obtained from the locus) -Suggestion ) Use the commands like 'rlocus, riocfind' and 'bode, in Matlab. C(s) R(s)+ | (s + 2) -ㄒㄧ System I R(s) + C(s) (s...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY()...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY() a) Assume C(s) = K. Determine the range of K for which the closed-loop system is stable via: (1.) the routh-hurwitz stability criteria, (ii.) the margin() command in Matlab, and (lii.) the rlocus command in Matlab. b) Assume a proportional controller of C(s) = K = 40, and a time delay T, located between the controller and plant. Determine the maximum T, value that...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (the...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 2...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 225 270 101 10 Frequency (rad/s) 102 a. Looking at the low frequency behavior, determine its number of poles at origin. Explain. b. Looking at the high frequency behavior, determine the number of excess poles. Explain. C....
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
Note: for the Bode plots, you are expected to draw t hem by hand (and not...
Note: for the Bode plots, you are expected to draw
t
hem by hand (and not use
computer).
Problem 6: Consider the control system shown in Figure 7-138. Determine the value of gain K such that the phase margin is 60°. What is the gain margin with this value of gain K 10一 ll@ゆ s + 0.1 s +0.5
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
please use matlab
etch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -1 encirclements, and goes off to infinity in the correct direction. 6.19 Sk K(0.5 (a) GH(s) K (4s+1)...
Use MATLAB to draw Bode Plots for a negative unity feedback system with each of the following forward-path transfer functions: 100(s +2) (b) G(s)50s +3 (s+5) Then, using the Bode Plots, s(s +2) (s+4) (s +6) · estimate the transient performance Ts and %OS (step response) . and compare the estimated values with actual values obtained from simulation.
Use MATLAB to draw Bode Plots for a negative unity feedback system with each of the following forward-path transfer functions: 100(s +2)...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) Use MATLAB to draw/plot the root locus (b) Obtain the limits for stable gain. (c) Get bode plot (d) Get gain margin and limits for stable K/gain. (It should be the same as the values obtained from the locus) -Suggestion ) Use the commands like 'rlocus, riocfind' and 'bode, in Matlab. C(s) R(s)+ | (s + 2) -ㄒㄧ System I R(s) + C(s) (s...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY() a) Assume C(s) = K. Determine the range of K for which the closed-loop system is stable via: (1.) the routh-hurwitz stability criteria, (ii.) the margin() command in Matlab, and (lii.) the rlocus command in Matlab. b) Assume a proportional controller of C(s) = K = 40, and a time delay T, located between the controller and plant. Determine the maximum T, value that...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
Consider the system given below where K is a constant gain, Gp is the plant, and Ge is a compensator. The Bode Plots of a Gp is given below. Problem 1: Bode Diagram 20 2 40 -60 80 -100 90 135 180 a 225 270 101 10 Frequency (rad/s) 102 a. Looking at the low frequency behavior, determine its number of poles at origin. Explain. b. Looking at the high frequency behavior, determine the number of excess poles. Explain. C....
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
Note: for the Bode plots, you are expected to draw
t
hem by hand (and not use
computer).
Problem 6: Consider the control system shown in Figure 7-138. Determine the value of gain K such that the phase margin is 60°. What is the gain margin with this value of gain K 10一 ll@ゆ s + 0.1 s +0.5
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